In Section REF , we updated the reddenings from [1]} (F07) to the newer system of [2]}. This adjustment was performed by multiplying all reddenings by a factor of \(1.055 \pm 0.034\) . To propagate the uncertainty on this quantity, we recalculate the distance moduli and reddenings to the LMC and SMC after multiplying the F07 Milky Way reddenings by factors of \(1.055 - 0.034 = 1.021\)  and \(1.055 + 0.034 = 1.089\) . The resulting errors on the distance moduli are below their level of precision (\(<0.0005\)  mag), and the errors on the reddenings are \(\pm 0.014\)  mag. This is a reducible systematic particular to our sample.
